Sinner set up a clash against 2021 Wimbledon finalist Matteo Berrettini, in an all-Italian second round matchup.
Australian Open champion and world number three Aryna Sabalenka withdrew from Wimbledon on Monday due to a shoulder injury.
Sabalenka also defended her decision to skip the Paris Olympics which she made the week after her defeat to Russian teenager Mirra Andreeva in the last-eight of the French Open.
World no. 1 Swiatek extended her winning run in Paris to 20 matches and advanced to a fourth Roland Garros final in five years.
Mirra Andreeva became the youngest Grand Slam semi-finalist for 27 years with a shock win over Aryna Sabalenka on Wednesday at the French Open
The 17-year-old fought back from a set down against her ailing opponent to win 6-7 (5/7), 6-4, 6-4 after two hours and 29 minutes.
Jasmine Paolini, seeded 12th, knocked out fourth seed Rybakina 6-2, 4-6, 6-4.
It will be Aryna Sabalenka and Paula Badosa's seventh meeting but first at a Grand Slam.
Australian Open champion Sabalenka, a semi-finalist in Paris in 2023, over-powered Russian teenager Erika Andreeva 6-1, 6-2 in just 68 minutes under the roof on Court Philippe Chatrier.
Alexander Zverev reached his 18th Masters semi-final in Rome on Wednesday but only after a worrying fall which sparked memories of the horror injury he suffered at the French Open two years ago.